Greechie diagrams, nonexistence of measures in quantum logics, and Kochen–Specker-type constructions

DOI10.1063/1.531710zbMath0862.03041OpenAlexW2161594563WikidataQ58620722 ScholiaQ58620722MaRDI QIDQ4716456

Karl Svozil, Josef Tkadlec

Publication date: 26 November 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531710

zbMATH Keywords

Greechie diagramssubstructurefull set of statestwo-valued statesfinite orthomodular latticesunital set of statesseparating set of statesHilbert space logicKochen-Specker-type configuration

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (13)

Noncontextual coloring of orthogonality hypergraphs ⋮ On the Connection Between Quantum Probability and Geometry ⋮ Physical versus computational complementarity. I ⋮ Cohomology of Effect Algebras ⋮ Analogues of quantum complementarity in the theory of automata ⋮ Unscrambling the quantum omelette ⋮ Kochen-Specker theorem in Krein space ⋮ Quantum value indefiniteness ⋮ A combinatorial approach to nonlocality and contextuality ⋮ Quantum scholasticism: On quantum contexts, counterfactuals, and the absurdities of quantum omniscience ⋮ Density conditions for quantum propositions ⋮ Generalized Greenberger-Horne-Zeilinger arguments from quantum logical analysis ⋮ Graph approach to quantum systems

Cites Work

• Automaton partition logic versus quantum logic
• Automaton logic
• Validité dans les algèbres de Boole partielles
• The logic of quantum mechanics
• The Pasting Constructions for Orthomodular Posets
• Bell’s theorem without inequalities
• Two simple proofs of the Kochen-Specker theorem
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

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